125541845565444 has 864 divisors, whose sum is σ = 439267281223680. Its totient is φ = 29474165952000.

The previous prime is 125541845565419. The next prime is 125541845565497. The reversal of 125541845565444 is 444565548145521.

125541845565444 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 4 + 1 + 84 + 5 + 5 + 6 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1275095722 + ... + 1275194174.

It is an arithmetic number, because the mean of its divisors is an integer number (508411205120).

Almost surely, 2^{125541845565444} is an apocalyptic number.

125541845565444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125541845565444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219633640611840).

125541845565444 is an abundant number, since it is smaller than the sum of its proper divisors (313725435658236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125541845565444 is a wasteful number, since it uses less digits than its factorization.

125541845565444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98613 (or 98597 counting only the distinct ones).

The product of its digits is 307200000, while the sum is 63.

The spelling of 125541845565444 in words is "one hundred twenty-five trillion, five hundred forty-one billion, eight hundred forty-five million, five hundred sixty-five thousand, four hundred forty-four".